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Supplementary mathematics

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SUPPLEMENTARY MATHEMATICS

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Definition[edit | edit source]

Definition

This book is a guide for those interested in mathematics, which presents an advanced and complementary type of mathematics. In this book, we discuss advanced topics such as calculations, analysis, geometry, etc., and general topics such as the branches of mathematics. This book is different from basic math, basic math teaches basic concepts and teaches math in simple language. The concept of advanced mathematics means to present complex and advanced concepts, it means that extensive concepts are also included with them. This ebook will help you with advanced and extensive and important

concepts of mathematics.

Introduction[edit | edit source]

  1. Introduction

List of research topics[edit | edit source]

  1. Mathematics
  2. Calculus
  3. geometry
  4. Discrete mathematics
  5. Statistics and Probability
  6. Mathematics analysis

Mathematics[edit | edit source]

  1. Philosophy of mathematics
  2. Mathematics awards
  3. History of mathematics
  4. Mathematics Olympiad
  5. Applied mathematics
  6. pure mathematics
  7. Computational mathematics
  8. Engineering Mathematics
  9. branches of mathematics

Calculus[edit | edit source]

branchs of calculus[edit | edit source]

  1. Differential calculus
  2. Integral calculus

integrals[edit | edit source]

  1. Integral of Fourier
  2. Linear integral
  3. Volume integral
  4. Surface integral
  5. multiple integral
  6. Riemann integral
  7. Riemann-Stiltis integral
  8. Improper integral
  9. Gaussian integral
  10. Integral of logarithmic
  11. Logarithmic integral function
  12. Path integral formulation
  13. integral list of dumb functions
  14. integral list of exponential functions
  15. Integral list of inverse hyperbolic functions
  16. Integration by parts
  17. Integral list of rational functions
  18. Integral list of trigonometric functions
  19. Integral list of inverse trigonometric functions
  20. List of integrals of hyperbolic functions
  21. List of integrals of Gaussian functions
  22. List of integrals of logarithmic functions

trigonometries[edit | edit source]

  1. Trigonometry
  2. Trigonometric functions
  3. Spherical Trigonometry
  4. Exact trigonometric values
  5. Euler's formula
  6. Generalized Trigonometry
  7. Goniometric function
  8. Harty core
  9. Greninger diagram
  10. List of trigonometric identities
  11. Trigonometric integral
  12. trigonometric derivative
  13. trigonometric rules
  14. trigonometric polynomial
  15. Formula of half angle of tangent
  16. Matrix trigonometric functions
  17. Trigonometric tables
  18. Unit circle

derivatives[edit | edit source]

series[edit | edit source]

  1. Series of math
  2. Fourier series
  3. Taylor series
  4. power series
  5. Binomial series
  6. Gregoric series
  7. Laurent series
  8. divergent series
  9. Harmonic series
  10. Convergent series
  11. Geometric series
  12. Ramanujan-Sato series

derivative[edit | edit source]

  1. derivative

Other:[edit | edit source]

  1. Fourier transform
  2. Laplace's equation
  3. Laplace transform
  4. Differential equation
  5. function (mathematics)
  6. Logarithm
  7. Logarithmic function
  8. Show function
  9. Linear equation
  10. Algebra and equation
  11. Limit of the function
  12. continuity of the function
  13. Infinite limit
  14. finite limit
  15. Line element
  16. Volume element
  17. Inverse trigonometric functions
  18. Dini criterion
  19. Etihad Parswal
  20. Gibbs phenomenon
  21. Triangular and square wave
  22. Anti-derivative
  23. Binomial expansion
  24. derivative of logarithmic
  25. Integration of Fourier series
  26. Derivation of Fourier series

Geometry[edit | edit source]

branches of geometry[edit | edit source]

  1. Spatial geometry
  2. Differential geometry
  3. Area and volume
  4. Regular polygon
  5. Conical section
  6. Riemannian geometry
  7. Analytic geometry
  8. Algebraic geometry
  9. Euclidean geometry
  10. Non-Euclidean geometry

Area and volume[edit | edit source]

Coordinate system[edit | edit source]

angles[edit | edit source]

Polymorphisms[edit | edit source]

Topology[edit | edit source]

Geometric algorithms[edit | edit source]

  1. Internal and external angle
  2. Cartesian coordinate system
  3. Three-dimensional space
  4. Spherical coordinate system
  5. Cylindrical coordinate system
  6. Cube
  7. Cuboid
  8. Prism
  9. Cylinder
  10. Sphere
  11. Pyramid
  12. Cone
  13. Spherical sector
  14. Rotation
  15. Parallelepiped
  16. Polyhedron
  17. octahedron
  18. Torus
  19. Rotation
  20. Central angle
  21. Circumferential angle
  22. Shadow angle
  23. Spatial angle
  24. Sector
  25. radians
  26. Gradient
  27. matrix
  28. Spherical wedge
  29. Spherical piece
  30. anti-prism
  31. Incomplete pyramid
  32. Thales theorem
  33. Internal and external multiplication
  34. Vectors
  35. Spheroid
  36. Ellipsoid

Discrete mathematics[edit | edit source]

  1. Theory of sets
  2. logic (the study of reasoning)
  3. Number Theory
  4. Combinations
  5. Graph Theory
  6. Digital geometry
  7. Digital topology
  8. Algorithmology
  9. Information theory
  10. Theory of computability
  11. Complexity theory
  12. Fundamental probability theory
  13. Markov chain theory
  14. Linear Algebra
  15. Partially ordered collection
  16. Possibilities
  17. proof (mathematics)
  18. count
  19. Polynomial long division
  20. Binary relationship
  21. Latin square
  22. Binomial expansion

Statistics and Probability[edit | edit source]

  1. Classification of data
  2. Law of total probability
  3. Average
  4. Diagrams
  5. Statistics variables
  6. Inferential statistics
  7. Descriptive Statistics
  8. Number of possible modes
  9. Independent events
  10. Conditional probability
  11. Collection and probability
  12. Sample space
  13. Society and example
  14. Complementary event
  15. Discrete probability distribution
  16. Mathematical Statistics
  17. Algebraic statistics
  18. Bayes law of probability
  19. statistical model
  20. Algebraic probability

Mathematics analysis[edit | edit source]

  1. Real analysis
  2. Mixed analysis
  3. Functional analysis
  4. Harmonic analysis
  5. Complex analysis
  6. numerical analysis
  7. Vector analysis
  8. Analytical analysis
  9. General analysis
  10. Analysis of Fourier
  11. Approximate analysis
  12. Non-standard analysis

Mathematical principles[edit | edit source]

  1. Addition principle
  2. Bloch's principle
  3. Cavalieri's principle
  4. Clubsuit
  5. Combinatorial principles
  6. Contraction principle (large deviations theory)
  7. Courant minimax principle
  8. Diamond principle
  9. Dirichlet's principle
  10. Duhamel's principle
  11. Harnack's principle
  12. Hasse principle
  13. Hausdorff maximal principle
  14. Homotopy principle
  15. Hopf lemma
  16. Hopf maximum principle
  17. Hume's principle
  18. Inclusion–exclusion principle
  19. Incompressibility method
  20. Laplace principle (large deviations theory)
  21. Littlewood's three principles of #real analysis
  22. Markov's principle
  23. Maupertuis's principle
  24. Principle of maximum caliber
  25. Principle of maximum entropy
  26. Maximum modulus principle
  27. Maximum principle
  28. Method of distinguished element
  29. Order-extension principle
  30. Phragmén–Lindelöf principle
  31. Pigeonhole principle
  32. Racetrack principle
  33. Reflection principle
  34. Rule of product
  35. Schwarz reflection principle
  36. Splitting principle
  37. Square–cube law
  38. Tilted large deviation principle
  39. Transfer principle
  40. Uniform boundedness principle
  41. Vopěnka's principle
  42. Well-ordering principle

References[edit | edit source]

  1. References


Builders[edit | edit source]

Builder's joint account[edit | edit source]

other[edit | edit source]

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